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Finding the Fourth Proportional to 347,264.20, 520,077.10 and 214,553.80

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Solution

The fourth proportional to 347,264.20, 520,077.10 and 214,553.80 is: 321,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,264.20 : 520,077.10 = 214,553.80 : x
  2. Step 2: Convert to fraction form
    347,264.20/520,077.10 = 214,553.80/x
  3. Step 3: Cross multiply
    347,264.20x = 520,077.10 × 214,553.80
  4. Step 4: Simplify right side
    347,264.20x = 111,584,518,097.98
  5. Step 5: Solve for x
    x = 111,584,518,097.98/347,264.20
  6. Step 6: Final answer
    x = 321,324.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.